2 citations · 9 across the 46 of their papers we have counts for
5 papers · 2 filters
Kernel estimates for the Weyl-Hörmander calculus, Weak (1,1) boundedness and other regularity properties
Duván Cardona, Julio Delgado, Manuel Martínez-Flores
We provide kernel estimates for pseudo-differential operators in the Weyl-Hörmander calculus classes. These new results lead to boundedness theorems like the weak (1,1) ty…
Quasilinear equations with exponential growth for Hörmander -sub-Laplacians on stratified Lie groups
Jesus A. León Tordecilla, Duván Cardona
We prove the existence of positive weak solutions for a quasilinear equation with exponential nonlinearity on arbitrary stratified Lie groups for \emph{horizontal -Laplacians,}…
Kernel estimates and weak (1,1)-boundedness of pseudo-differential operators on compact Lie groups
Duván Cardona, Rafik Yeghoyan, Michael Ruzhansky
Given a compact Lie group and its unitary dual , we establish the weak (1,1) continuity for pseudo-differential operators in the global Hörmander classes of order…
Hyperbolic partial differential equations with complex characteristics on Fourier Lebesgue spaces
Duván Cardona, William Obeng-Denteh, Frederick Opoku
The aim of this paper is to establish well-posedness properties for hyperbolic PDEs on Fourier Lebesgue spaces. We consider hyperbolic operators with complex characteristics. Since…
Local smoothing estimates for bilinear Fourier integral operators
Duván Cardona
We formulate a local smoothing conjecture for bilinear Fourier integral operators in every dimension derived from the celebrated linear case due to Sogge, which we refer…